Simulation of Quasiperiodic Signals via Warped MPDAEs Using Houben's Approach.

A multidimensional model yields an alternative strategy for the numerical simulation of frequency-modulated signals. Thus the differential algebraic equations (DAEs), which describe an electric circuit, change into warped multirate partial differential algebraic equations (MPDAEs). Houben [6] introduced an approach for solving efficiently initial-boundary value problems of such MPDAE systems. Thereby, envelope-modulated solutions of the DAEs are reproduced. In this paper, the technique is analysed for obtaining quasiperiodic solutions of the DAEs. The crucial question is if biperiodic solutions of the MPDAEs are generated automatically by Houben's approach provided that the initial values of a biperiodic solution are applied. [ABSTRACT FROM AUTHOR]